影像变形公式与教材的分歧

ifference of the Image Deformation Formulas with the Textbooks

  • 摘要: 把正方体切成无数平行断面,每个断面均有一个光锥,在无数个光锥内观察断面截面与投影截面及断面和断面投影的变化,可得出以下结论:(1)X线影像变形是光锥作用的结果;(2)无论物体投影面是否成角,光锥中心线直射或斜射作用不变;(3)各断面截面的椭圆离心率反映物体空间歪斜程度,是真正的变形因素;(4)投影截面椭圆离心率分别大于、等于或小于断面截面椭圆离心率,则断面正中纵径投影/实长分别大于、等于或小于通过该投影中点的横径投影/实长;(5)若物体投影面成角,将会产生断面投影不均等放大现象;(6)变形程度与物体厚度成正比,且变形的程度与点光源至物体的距离成逆向变化,而与物体投影面距离无关;(7)教材中的论述是错误的。

     

    Abstract: :Cut a regular hexahedron into innumerable parallel fracture planes, in each of which there is a light cone. With observing in the innumerable light cones the variations of the fracture plane sections with the projective sections, and the sections with their own projections,we came to the following conclusions :1) Xray image deformation is due to the function of light cones;2) no matter whether the object projective plane make an angle,the function of the direct incidence and oblique incidence of the lightcone axial beam keeps constant;3) the elliptical eccentricity of each fracture plane section reflects the space deflection of the object, which is the real deformation factor;4) if the elliptical eccentricity of the projective section is respectively bigger than, equal to or less than the elliptical eccentricity of the fracture plane section,the projection length of fracture surface’s centre vertical diameter and the real length is respectively bigger than,equal to or less than the projection length of the horizontal diameter across the centre of that projection and the real length;5) if the object is at an angle to the projective plane,it will lead to the unequal amplification of the fracture surface’s projection;6) the deformation degree is in direct proportion to the thickness of the object, and it is in inverse change to the distance from the point source to the object, but bears no relation to the distance from the object to projective plane;7) the dissertation in the textbooks stands in error.

     

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